Results 81 to 90 of about 8,297,223 (199)

On Some New Sequence Spaces and Their Duals

Journal of Mathematics
In this study, we defined some new sequence spaces using regular Tribonacci matrix. We examined some properties of these spaces such as completeness, Schauder basis. We have identified α−,β−, and γ−duals of the newly created spaces.
Damla Barlak
doaj   +1 more source

Generalized concept of $J$-basis [PDF]

Sahand Communications in Mathematical Analysis, 2015
A generalization of Schauder basis associated with the concept of generalized analytic functions is introduced. Corresponding concepts of density, completeness, biorthogonality and basicity are defined.
Tofig Najafov
doaj  

Milloux Inequality of E-Valued Meromorphic Function

The Scientific World Journal, 2014
The main purpose of this paper is to establish the Milloux inequality of E-valued meromorphic function from the complex plane ℂ to an infinite dimensional complex Banach space E with a Schauder basis.
Zhaojun Wu, Zuxing Xuan
doaj   +1 more source

Boundedness of Lebesgue Constants and Interpolating Faber Bases

Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017
Background. We investigate the relationship between the boundedness of Lebesgue constants for the Lagrange polynomial interpolation on a compact subset of \[\mathbb R\] and the existence of a Faber basis in the space of continuous functions on this ...
Viktoriia V. Bilet, Oleksiy A. Dovgoshey, Jürgen Prestin   +2 more
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The Franklin system as Schauder basis for 𝐿^{𝑝}_{𝜇}[0,1]

, 1988
The present work is devoted to a characterization of those spaces L μ p [ 0 , 1 ] , p ≥ 1 , μ L_\mu ^p[0,1],p \geq 1,\mu ...
Robert E. Zink
core   +1 more source

Eksistensi basis schauder di ruang banach [PDF]

ABSTRAK Penelitian ini mengkaji eksistensi Basis Schauder di Ruang Banach. Basis Schauder adalah barisan {x_n }_(n=1)^∞ di Ruang Banach disebut Basis Schauder jika untuk setiap x∈X terdapat barisan dari skalar {a_n }_(n=1)^∞ sedemikian sehingga x ...
Nurfadilah, Yunita
core  

Monotone and E-Schauder Bases of Subspaces

, 1968
The notions of monotone bases and bases of subspaces are well known in a normed linear space setting and have obvious extensions to pseudo-metrizable linear topological spaces.
John P. Russo
core   +1 more source

Almost Sequence Spaces Derived by the Domain of the Matrix

Abstract and Applied Analysis, 2013
By using , we introduce the sequence spaces , , and of normed space and -space and prove that , and are linearly isomorphic to the sequence spaces , , and , respectively.
Ali Karaisa, Ümıt Karabıyık
doaj   +1 more source

ON EQUIVALENCE RELATIONS GENERATED BY SCHAUDER BASES

, 2017
In this article, a notion of Schauder equivalence relation ℝℕ/L is introduced, where L is a linear subspace of ℝℕ and the unit vectors form a Schauder basis of L.
LONGYUN DING
core   +1 more source

On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces

Communications in Advanced Mathematical Sciences
In this work, we give some results about the basic properties of the vector-valued Fibonacci sequence spaces. In general, sequence spaces with Banach space-valued cannot have a Schauder Basis unless the terms of the sequences are complex or real terms ...
Seçkin Yalçın, Yılmaz Yılmaz
doaj   +1 more source